An insect is at bottom of a hemispherical ditch of radius 1, m . It crawls up ditch but starts slipp

English

Gujarati

Hindi

4-2.Friction

hard

An insect is at the bottom of a hemispherical ditch of radius $1\, m$. It crawls up the ditch but starts slipping after it is at height $h$ from the bottom. If the coefficient of friction between the ground and the insect is $0.75,$ then $h$ is$.......m$
$\left(g=10\, m s^{-2}\right)$

A$0.80$

B$0.60$

C$0.45$

D$0.20$

(JEE MAIN-2020)

Solution

For balancing $mg \sin \theta= f$
$mg \sin \theta=\mu mgcos \theta$
$\tan \theta=\mu$
$\tan \theta=\frac{3}{4}$
$h = R – R \cos \theta$
$= R – R \left(\frac{4}{5}\right)=\frac{ R }{5}$
$h =\frac{ R }{5}=0.2 m$

Standard 11

Physics

A block of mass $M = 5\,kg$ is resting on a rough horizontal surface for which the coefficient of friction is $0.2$. When a force $F = 40\,\,N$ is applied, the acceleration of the block will be …….. $m/\sec^2$ $(g = 10\,\,m/{\sec^2})$

hard

A $500 \,kg$ horse pulls a cart of mass $1500\, kg $ along a level road with an acceleration of $1\,m{s^{ – 2}}$. If the coefficient of sliding friction is $0.2$, then the force exerted by the horse in forward direction is ……… $N$

medium

On a rough horizontal surface, a body of mass $2 \,kg$ is given a velocity of $10 \,m/s$. If the coefficient of friction is $0.2$ and $g = 10\, m/{s^2}$, the body will stop after covering a distance of …….. $m$

medium

A child weighing $25$ kg slides down a rope hanging from the branch of a tall tree. If the force of friction acting against him is $2\, N$, …….. $m/s^2$ is the acceleration of the child (Take $g = 9.8\,m/{s^2})$

medium

A block of mass $m$ slides along a floor while a force of magnitude $F$ is applied to it at an angle $\theta$ as shown in figure. The coefficient of kinetic friction is $\mu_{ K }$. Then, the block's acceleration $'a'$ is given by: ($g$ is acceleration due to gravity)

hard

(JEE MAIN-2021)

An insect is at the bottom of a hemispherical ditch of radius $1\, m$. It crawls up the ditch but starts slipping after it is at height $h$ from the bottom. If the coefficient of friction between the ground and the insect is $0.75,$ then $h$ is$.......m$ $\left(g=10\, m s^{-2}\right)$

Solution

Similar Questions

A block of mass $M = 5\,kg$ is resting on a rough horizontal surface for which the coefficient of friction is $0.2$. When a force $F = 40\,\,N$ is applied, the acceleration of the block will be …….. $m/\sec^2$ $(g = 10\,\,m/{\sec^2})$

A $500 \,kg$ horse pulls a cart of mass $1500\, kg $ along a level road with an acceleration of $1\,m{s^{ – 2}}$. If the coefficient of sliding friction is $0.2$, then the force exerted by the horse in forward direction is ……… $N$

On a rough horizontal surface, a body of mass $2 \,kg$ is given a velocity of $10 \,m/s$. If the coefficient of friction is $0.2$ and $g = 10\, m/{s^2}$, the body will stop after covering a distance of …….. $m$

A child weighing $25$ kg slides down a rope hanging from the branch of a tall tree. If the force of friction acting against him is $2\, N$, …….. $m/s^2$ is the acceleration of the child (Take $g = 9.8\,m/{s^2})$

A block of mass $m$ slides along a floor while a force of magnitude $F$ is applied to it at an angle $\theta$ as shown in figure. The coefficient of kinetic friction is $\mu_{ K }$. Then, the block's acceleration $'a'$ is given by: ($g$ is acceleration due to gravity)

Start a Free Trial Now

An insect is at the bottom of a hemispherical ditch of radius $1\, m$. It crawls up the ditch but starts slipping after it is at height $h$ from the bottom. If the coefficient of friction between the ground and the insect is $0.75,$ then $h$ is$.......m$
$\left(g=10\, m s^{-2}\right)$